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Question: Answered & Verified by Expert
One mole of an ideal gas at $300 \mathrm{~K}$ is expanded isothermally from $1 \mathrm{~L}$ to $10 \mathrm{~L}$ volume. $\Delta \mathrm{U}$ for this process is
(Use $\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ )
ChemistryThermodynamics (C)NEETNEET 2022 (Phase 2)
Options:
  • A $1260 \mathrm{~J}$
  • B $2520 \mathrm{~J}$
  • C $5040 \mathrm{~J}$
  • D $0 \mathrm{~J}$
Solution:
2915 Upvotes Verified Answer
The correct answer is: $0 \mathrm{~J}$
In an isothermal expansion or compression process, the temperature of system remains constant throughout the process. Since, for an ideal gas, $\mathrm{U}$ depends only on temperature, it follows that the value of \(\Delta U\) is zero, during isothermal expansion of gas.

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